On the existence and regularity of mass-minimizing currents with an elastic boundary

DOI10.1023/A:1006572122998zbMath0886.49029MaRDI QIDQ1379116

Felicia Bernatzki

Publication date: 19 April 1998

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

rectifiable currentssecond fundamental formnonlinear elasticityelliptic systemsgeneralized mean curvatureenergy minimizing deformation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (6)

Instability paths in the Kirchhoff-Plateau problem ⋮ Mass-minimizing currents with an elastic boundary ⋮ Influence of a spanning liquid film on the stability and buckling of a circular loop with intrinsic curvature or intrinsic twist density ⋮ Dimensional reduction of the Kirchhoff-Plateau problem ⋮ Stability and bifurcation of a soap film spanning a flexible loop ⋮ Plateau’s Problem

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